List questions from exponential-function

Published on 17 Apr 2026 - 9:27

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Proof of the inequality $e^x\le e^{x^2} + x$

Published on 15 Apr 2026 - 0:43

2.7k

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Bound for the exponential distribution using chebychev's inequality

Published on 15 Apr 2026 - 12:08

38

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When using exponential growth why is the form $a \cdot e^{ct}$ used instead of $a\cdot b^t$?

Published on 13 Apr 2026 - 5:30

65

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Solution $(x,y)$ to $x^y=y^x=a$, $a>1$ being real.

Published on 14 Apr 2026 - 7:28

4.1k

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Exponent of Sum property

Published on 17 Apr 2026 - 1:26

41

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Let $a$ and $n$ be integers, such that $a,n>1$ and $n$ is not a perfect square; show that: $a^{\sqrt{n}}$ is a transcendental number.

Published on 17 Apr 2026 - 6:59

273

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Exponential and ln function

Published on 12 Apr 2026 - 6:55

83

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Probability density function and exp distr

Published on 09 Apr 2026 - 0:09

469

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Find the mgf and E(x) of exponential family

Published on 13 Apr 2026 - 23:19

191

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On the exponential function.

Published on 14 Apr 2026 - 23:07

60

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Limit related to exponential $\lim_{n\to\infty} (1+\frac1n)^{n^2}/e^n = e^{-1/2}$

Published on 16 Apr 2026 - 19:45

87

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Exponential Functions where $-1 < x < 1$

Published on 13 Apr 2026 - 3:12

5.6k

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Show that f(x)=e^x from set of reals to set of reals is not invertible...

Published on 13 Apr 2026 - 8:38

452

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Roots and Logarithms of Matrices.

Published on 15 Apr 2026 - 5:04

List Question

Inverse of a function

Proof of the inequality $e^x\le e^{x^2} + x$

Bound for the exponential distribution using chebychev's inequality

When using exponential growth why is the form $a \cdot e^{ct}$ used instead of $a\cdot b^t$?

Solution $(x,y)$ to $x^y=y^x=a$, $a>1$ being real.

Exponent of Sum property

Let $a$ and $n$ be integers, such that $a,n>1$ and $n$ is not a perfect square; show that: $a^{\sqrt{n}}$ is a transcendental number.

Exponential and ln function

Probability density function and exp distr

Find the mgf and E(x) of exponential family

On the exponential function.

Limit related to exponential $\lim_{n\to\infty} (1+\frac1n)^{n^2}/e^n = e^{-1/2}$

Exponential Functions where $-1 < x < 1$

Show that f(x)=e^x from set of reals to set of reals is not invertible...

Roots and Logarithms of Matrices.

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